Step by Step solution about How to resolve the algorithm Multifactorial step by step in the C programming language

This C code snippet defines and uses the multifactorial function. The multifactorial of a number is defined as the product of that number and all the integers below it down to some non-negative degree.

The code includes standard input and output library and defines two constants, HIGHEST_DEGREE and LARGEST_NUMBER.

The function multifact computes the multifactorial of a number n to a given degree deg recursively. It's a recursive implementation of the multifactorial function where the function calls itself until the degree of the multifactorial is 0.

The function multifact_i computes the multifactorial of a number n to a given degree deg iteratively. It's an iterative implementation of the multifactorial function where a loop is used to calculate the multifactorial.

The main function is the entry point of the program and it tests the multifactorial functions by printing out the multifactorials of numbers from 1 to LARGEST_NUMBER for degrees from 1 to HIGHEST_DEGREE.

/* Include statements and constant definitions */
#include <stdio.h>
#define HIGHEST_DEGREE 5
#define LARGEST_NUMBER 10

/* Recursive implementation of multifactorial function */
int multifact(int n, int deg){
   return n <= deg ? n : n * multifact(n - deg, deg);
}

/* Iterative implementation of multifactorial function */
int multifact_i(int n, int deg){
   int result = n;
   while (n >= deg + 1){
      result *= (n - deg);
      n -= deg;
   }
   return result;
}

/* Test function to print out multifactorials */
int main(void){
   int i, j;
   for (i = 1; i <= HIGHEST_DEGREE; i++){
      printf("\nDegree %d: ", i);
      for (j = 1; j <= LARGEST_NUMBER; j++){
         printf("%d ", multifact(j, i));
      }
   }
}